The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A047381 Numbers that are congruent to {0, 1, 2, 4, 5} mod 7. 2
 0, 1, 2, 4, 5, 7, 8, 9, 11, 12, 14, 15, 16, 18, 19, 21, 22, 23, 25, 26, 28, 29, 30, 32, 33, 35, 36, 37, 39, 40, 42, 43, 44, 46, 47, 49, 50, 51, 53, 54, 56, 57, 58, 60, 61, 63, 64, 65, 67, 68, 70, 71, 72, 74, 75, 77, 78 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1) FORMULA a(n) = floor( (7/5)(n-1) ). [Gary Detlefs, Feb 20 2010] From R. J. Mathar, Mar 11 2011: (Start) a(n) = a(n-1) + a(n-5) - a(n-6). G.f.: x^2*(1 + x + 2*x^2 + x^3 + 2*x^4) / ((x^4 + x^3 + x^2 + x + 1)*(x-1)^2). (End) 5*a(n) = 7*n-9-b(n) where b(n) = b(n-5) = 1, -2, 0, 2, -1 (for offset 0). - R. J. Mathar, Jul 22 2020 MAPLE seq(floor((7/5)*(n-1)), n=1..56); # Gary Detlefs, Feb 20 2010 MATHEMATICA CoefficientList[Series[x (1 + x + 2 x^2 + x^3 + 2 x^4) / ((x^4 + x^3 + x^2 + x + 1) (x - 1)^2), {x, 0, 60}], x] (* Vincenzo Librandi, Jul 26 2013 *) PROG (Magma) [ n: n in [1..80] | n mod 7 in [0, 1, 2, 4, 5] ]; // Vincenzo Librandi, Jul 26 2013 CROSSREFS Sequence in context: A346128 A276220 A288204 * A286428 A329996 A258833 Adjacent sequences: A047378 A047379 A047380 * A047382 A047383 A047384 KEYWORD nonn,easy AUTHOR N. J. A. Sloane EXTENSIONS Formula and Maple code adapted to the offset by Wesley Ivan Hurt, Jul 16 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 2 16:33 EDT 2023. Contains 365837 sequences. (Running on oeis4.)